Question

Solve the following :​

Answer 1

$\huge\mathfrak{\underline{\underline{\pink{Answer}}}}$

x = -14

$\\\huge\mathfrak{\underline{\underline{\red{Solution}}}}$

$(81)^{ - 4} = ( {9}^{2} )^{ - 4} \\ \\ {(729)}^{2 - x} = { ({9}^{3} )}^{2 - x} \\ \\ \dfrac{ {9}^{( - 8)} }{ {9}^{(6 - 3x)} } \\ \\ {9}^{ - 8} \times {9}^{ - (6 - 3x)} \\ \\ {9}^{ - 8} \times {9}^{ - 6 + 3x} \\ \\ {9}^{( - 8 + ( - 6 + 3x))} \\ \\ {9}^{3x - 14} = {9}^{4x}$

Comparing the powers in both sides,

4x = 3x - 14

4x - 3x = -14

x = -14

Answer 2

I hope it will help is this right